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Finding the Fourth Proportional to 52,292.49, 72,164.19 and 28,419.16

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Solution

The fourth proportional to 52,292.49, 72,164.19 and 28,419.16 is: 39,218.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,292.49 : 72,164.19 = 28,419.16 : x
  2. Step 2: Convert to fraction form
    52,292.49/72,164.19 = 28,419.16/x
  3. Step 3: Cross multiply
    52,292.49x = 72,164.19 × 28,419.16
  4. Step 4: Simplify right side
    52,292.49x = 2,050,845,913.34
  5. Step 5: Solve for x
    x = 2,050,845,913.34/52,292.49
  6. Step 6: Final answer
    x = 39,218.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.